Dynamics of super-horizon photons during inflation with vacuum polarization

Details Dynamics of super-horizon photons during inflation with vacuum polarization Dynamics of super-horizon photons during inflation with vacuum polarization

2003-10-10

arxiv.org/abs/gr-qc/0310056v2

Annals Phys. 312 (2004) 1-16

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 2 figures

Scientific paper

We study asymptotic dynamics of photons propagating in the polarized vacuum of a locally de Sitter Universe. The origin of the vacuum polarization is fluctuations of a massless, minimally coupled, scalar, which we model by the one-loop vacuum polarization tensor of scalar electrodynamics. We show that late time dynamics of the electric field on superhorizon scales approaches that of an Airy oscillator. The magentic field amplitude, on the other hand, asymptotically approaches a nonvanishing constant (plus an exponentially small oscillatory component), which is suppressed with respect to the initial (vacuum) amplitude. This implies that the asymptotic photon dynamics is more intricate than that of a massive photon obeying the local Proca equation.

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